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categoryرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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(a) Sketch the curve y³ = x². y X y y x x (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. z (I) L = 1+ dy dx dx L = dx (II) L = 1+ dy 1 1 L = = 6² dx = dy= (c) Find the length of the arc of this curve from (-27, 9) to (8, 4).

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